Answer:
Step-by-step explanation:
y= -2x+6
Y intercept is 6
X intercept is 3
x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination
Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answer:
B
Step-by-step explanation:
What does the word Expressions mean in mathematics in your own words?
Answer:
Expression in mathematics means word problem.
10 flowers in 5 vases = ? flowers per vase
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
Write the equation of the line that is parallel to the graph of Y= 1/2x + 6 ,and whose y-intercept is -2.
Answer:
y= -2x-2
Step-by-step explanation:
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
Determine if each ratios or rates are equivalent.
$12 for 3 paperback books, $28 for 7 paperback books.
Answer:
no these are not equivalent
Step-by-step explanation:
these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent
Evaluate x+y when x= −4/5 and y= 1/3. Write your answer as a fraction or mixed number in simplest form.
Answer:
-7/15
Step-by-step explanation:
=-4/5 + 1/3
=(-12+5)/15
=-7/15
Answer:
-7/15
Explanation:
x + y
-4/5 + 1/3
-12/15 + 5/15
= -7/15
convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
Hope this helps!!
Also, mark me brainliest thank you!!!
In case you don't know how click the crown at the bottom of this answer next to the comments button.
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
Can you help me please?
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT
Answer:
7
40
the answer is 7 fortyths
working out
3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths
5 sixths +1 third + 1 half = 10 sixths
7 twentyforths divided by 10 sixths= 7 fortyths
name something in your everyday life or something that you watch for entertainment (Like sports...) that involves understanding proportional relationships
Answer:
One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.
Step-by-step explanation:
You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.
So, now all you have to do it compare it to something you do everyday.
Please don't copy this, we are in the same class. :(
In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals
Answer:
[tex]X = 22[/tex]
Step-by-step explanation:
Given
Represent Emma with E and Nikki with N
From the question, we have that:
[tex]E = 1 + 2N[/tex]
and
[tex]E = 15[/tex]
Required
Determine the X number of goals
Substitute 15 for E in [tex]E = 1 + 2N[/tex]
[tex]15 = 1 + 2N[/tex]
Subtract 1 from both sides
[tex]15 -1 = 1 - 1 + 2N[/tex]
[tex]14 = 2N[/tex]
Divide both sides by 2
[tex]\frac{14}{2} = \frac{2N}{2}[/tex]
[tex]\frac{14}{2} = N[/tex]
[tex]7 = N[/tex]
[tex]N=7[/tex]
This implies that Nikki scored 7 goals in total
The X number of goals is then calculated as:
[tex]X = N + E[/tex]
[tex]X = 7 + 15[/tex]
[tex]X = 22[/tex]
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup
Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4
Name the following note!!
Answer:
Maybe this will help btw not math
Step-by-step explanation:
4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)
Answer:
It would be (x0.3,y0.3). C is the answer
Step-by-step explanation:
Because if you actually read it, it already gave you the answer which is the scale factor of 0.3
so that would lead to (x0.3,y0.3)
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%
Answer: 35%
Step-by-step explanation:
Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.
In the equation LaTeX: y=kx what does each variable represent.
Answer:
y = dependent variable
k = constant of proportionality or constant rate of change
x = independent variable
Step-by-step explanation:
The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.
y represents the dependent variable
k represents the constant of proportionality or constant rate of change
x represents the independent variable
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.
What is the domain of f(x)=
10x1-(4)
?
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
click on the volume of this rectangular prism.
Answer: 192 cubic inches
Step-by-step explanation:
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
Learn more about Scale Factor here :
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